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Simplifying 3w + -18 = 6(w + -2) Reorder the terms: -18 + 3w = 6(w + -2) Reorder the terms: -18 + 3w = 6(-2 + w) -18 + 3w = (-2 * 6 + w * 6) -18 + 3w = (-12 + 6w) Solving -18 + 3w = -12 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -18 + 3w + -6w = -12 + 6w + -6w Combine like terms: 3w + -6w = -3w -18 + -3w = -12 + 6w + -6w Combine like terms: 6w + -6w = 0 -18 + -3w = -12 + 0 -18 + -3w = -12 Add '18' to each side of the equation. -18 + 18 + -3w = -12 + 18 Combine like terms: -18 + 18 = 0 0 + -3w = -12 + 18 -3w = -12 + 18 Combine like terms: -12 + 18 = 6 -3w = 6 Divide each side by '-3'. w = -2 Simplifying w = -2
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